Question

The fruity snack company is packaging fruit loop cereal in small snack bags each snack is to weigh 30 grams with a tolerance of 1.6grams

1. Write an absolute value inequality that describes the weight, in grams of the snack bags that will be rejected

2. Solve the inequality and give your answer in interval notation

Answer 1

9514 1404 393

Answer:

1. |w -30| > 1.6
2. (-∞, 28.4) U (31.6, ∞)

Step-by-step explanation:

1. The snack bags will be rejected if their weight differs from 30 grams by more than 1.6 grams:

  |w -30| > 1.6

__

2. This inequality resolves to two inequalities.

  w -30 > 1.6

  w > 31.6 . . . . . add 30

and

  -(w -30) > 1.6

  w -30 < -1.6 . . . multiply by -1

  w < 28.4 . . . . . add 30

The solution in interval notation is the union of the two disjoint intervals:

  (-∞, 28.4) U (31.6, ∞)